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Fenced In (Posted on 2004-06-18) Difficulty: 3 of 5
A farmer wishes to enclose the maximum possible area with 100 meters of fence. The pasture is bordered by a straight cliff, which may be used as part of the fence. What is the maximum area that can be enclosed?

  Submitted by SilverKnight    
Rating: 3.7500 (4 votes)
Solution: (Hide)
A circle is the plane figure with highest ratio of area to perimeter. The cliff can be used to bisect a circle of radius 100/pi meters. By symmetry, this will form the pen of largest area. The resulting pen will contain 5000/pi meters squared.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionDej Mar2008-11-07 07:42:09
AnswerK Sengupta2008-11-07 06:08:10
Some ThoughtsSolution (Assuming...)wcaexqdz2004-10-27 12:08:23
Fenced InKarve Girish2004-06-20 04:14:00
SolutionWAIT A MOMENTKevin Tran2004-06-19 18:27:34
Solution(?)will2004-06-19 09:21:18
metersrixar2004-06-18 15:48:17
re: More then you thinkSilverKnight2004-06-18 15:05:32
More then you thinkCory Taylor2004-06-18 14:57:25
Solutionre(2): Where did my math go wrong?Erik O.2004-06-18 13:28:54
re: Where did my math go wrong?Charlie2004-06-18 12:48:03
QuestionWhere did my math go wrong?Erik O.2004-06-18 10:51:31
SolutionsolutionCharlie2004-06-18 10:08:07
Solutionsolution?Tristan2004-06-18 10:07:26
SolutionEric2004-06-18 09:56:57
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